Find the roots of f(x) = 2x² +128 PLEASE help!!!!

Question

asked Jun 2, 2020 44.3k views

1 Answer

Ajith Antony · Answer 1 · 2020-06-08T08:24:24+0000

Answer:

The roots are
x=-8i or
x=8i

Explanation:

The given polynomial is
f(x)=2x^2+128

To find the roots, we equate the polynomial to zero and solve for x.

tex]\implies 2x^2+128=0[/tex]

tex]\implies 2x^2=-128[/tex]

Divide through by 2

$\implies x^2=-64$

Take square root of both sides

$\implies x=\pm√(-64)$

This gives us:

$\implies x=\pm8i$

The roots are
x=-8i or
x=8i